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Simplifying
2x2 + 3x = x2 + 3x + 25
Reorder the terms:
3x + 2x2 = x2 + 3x + 25
Reorder the terms:
3x + 2x2 = 25 + 3x + x2
Add '-3x' to each side of the equation.
3x + -3x + 2x2 = 25 + 3x + -3x + x2
Combine like terms: 3x + -3x = 0
0 + 2x2 = 25 + 3x + -3x + x2
2x2 = 25 + 3x + -3x + x2
Combine like terms: 3x + -3x = 0
2x2 = 25 + 0 + x2
2x2 = 25 + x2
Solving
2x2 = 25 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
2x2 + -1x2 = 25 + x2 + -1x2
Combine like terms: 2x2 + -1x2 = 1x2
1x2 = 25 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
1x2 = 25 + 0
1x2 = 25
Divide each side by '1'.
x2 = 25
Simplifying
x2 = 25
Take the square root of each side:
x = {-5, 5}
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